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Simplifying factorise(2x + 4y)(4x + -5y) = 0 Multiply (2x + 4y) * (4x + -5y) acefiorst(2x * (4x + -5y) + 4y * (4x + -5y)) = 0 acefiorst((4x * 2x + -5y * 2x) + 4y * (4x + -5y)) = 0 Reorder the terms: acefiorst((-10xy + 8x2) + 4y * (4x + -5y)) = 0 acefiorst((-10xy + 8x2) + 4y * (4x + -5y)) = 0 acefiorst(-10xy + 8x2 + (4x * 4y + -5y * 4y)) = 0 acefiorst(-10xy + 8x2 + (16xy + -20y2)) = 0 Reorder the terms: acefiorst(-10xy + 16xy + 8x2 + -20y2) = 0 Combine like terms: -10xy + 16xy = 6xy acefiorst(6xy + 8x2 + -20y2) = 0 (6xy * acefiorst + 8x2 * acefiorst + -20y2 * acefiorst) = 0 (6acefiorstxy + 8acefiorstx2 + -20acefiorsty2) = 0 Solving 6acefiorstxy + 8acefiorstx2 + -20acefiorsty2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '2acefiorst'. 2acefiorst(3xy + 4x2 + -10y2) = 0 Factor a trinomial. 2acefiorst((4x + -5y)(x + 2y)) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'acefiorst' equal to zero and attempt to solve: Simplifying acefiorst = 0 Solving acefiorst = 0 Move all terms containing a to the left, all other terms to the right. Simplifying acefiorst = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(4x + -5y)' equal to zero and attempt to solve: Simplifying 4x + -5y = 0 Solving 4x + -5y = 0 Move all terms containing a to the left, all other terms to the right. Add '-4x' to each side of the equation. 4x + -4x + -5y = 0 + -4x Combine like terms: 4x + -4x = 0 0 + -5y = 0 + -4x -5y = 0 + -4x Remove the zero: -5y = -4x Add '5y' to each side of the equation. -5y + 5y = -4x + 5y Combine like terms: -5y + 5y = 0 0 = -4x + 5y Simplifying 0 = -4x + 5y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(x + 2y)' equal to zero and attempt to solve: Simplifying x + 2y = 0 Solving x + 2y = 0 Move all terms containing a to the left, all other terms to the right. Add '-1x' to each side of the equation. x + -1x + 2y = 0 + -1x Combine like terms: x + -1x = 0 0 + 2y = 0 + -1x 2y = 0 + -1x Remove the zero: 2y = -1x Add '-2y' to each side of the equation. 2y + -2y = -1x + -2y Combine like terms: 2y + -2y = 0 0 = -1x + -2y Simplifying 0 = -1x + -2y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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